If an automobile engine delivers 46.0 hp of power, how much time will it take for the engine to do 5.30 x 10^5 J of work?
46 hp = 46*746 = 34,316 Watts
Time = Work/Power = 5.3*10^5/3.432*10^4
= 15.4 seconds
To find the time it takes for the engine to do 5.30 x 10^5 J of work, we can use the formula:
Work = Power × Time
Rearranging the formula to solve for time, we have:
Time = Work / Power
Substituting the given values, the formula becomes:
Time = (5.30 x 10^5 J) / (46.0 hp)
Now we need to convert the power from horsepower (hp) to watts (W) because work is given in joules (J) and power needs to be in the same unit.
1 horsepower (hp) is equivalent to 745.7 watts (W), so:
Power = 46.0 hp × 745.7 W/hp
Now we can substitute the value of power to the previous formula:
Time = (5.30 x 10^5 J) / [(46.0 hp × 745.7 W/hp)]
We can then calculate the value of time using the given values.